THE BERGMAN PROJECTION ON FAT HARTOGS TRIANGLES

Author(s)
Luke David Edholm, Jeffery D. McNeal
Abstract

A class of pseudoconvex domains in C-n generalizing the Hartogs triangle is considered. The L-p boundedness of the Bergman projection associated to these domains is established, for a restricted range of p depending on the "fatness" of domains. This range of p is shown to be sharp.

Organisation(s)
Department of Mathematics
External organisation(s)
Ohio State University
Journal
Proceedings of the American Mathematical Society
Volume
144
Pages
2185-2196
No. of pages
12
ISSN
0002-9939
DOI
https://doi.org/10.1090/proc/12878
Publication date
05-2016
Peer reviewed
Yes
Austrian Fields of Science 2012
101002 Analysis, 101008 Complex analysis
Keywords
ASJC Scopus subject areas
Applied Mathematics, Mathematics(all)
Portal url
https://ucrisportal.univie.ac.at/en/publications/the-bergman-projection-on-fat-hartogs-triangles(1c47f810-9b85-452e-916e-ec5a0c4bf046).html